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Pis'ma v Zh. Èksper. Teoret. Fiz., 2013, Volume 97, Issue 4, Pages 235–240 (Mi jetpl3358)  

This article is cited in 6 scientific papers (total in 6 papers)


Strong fluctuations near the frustration point in cubic lattice ferromagnets with localized moments

A. N. Ignatenkoa, A. A. Kataninab, V. Yu. Irkhina

a Institute of Metal Physics, Ural Division of the Russian Academy of Sciences
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg

Abstract: Thermodynamic properties of cubic Heisenberg ferromagnets with competing exchange interactions are considered near the frustration point where the coefficient $D$ in the spin-wave spectrum $E_{\mathbf{k}}\sim D k^{2}$ vanishes. Within the Dyson-Maleev formalism, it is found that, at low temperatures, thermal fluctuations stabilize ferromagnetism by increasing the value of $D$. For not overly strong frustration, this leads to an unusual concave shape of the temperature dependence of magnetization, which is in agreement with experimental data on europium chalcogenides. The phase diagram is constructed by means of Monte Carlo simulation, and suppression of the magnetization and Curie temperature is found in comparison with the results of the spin-wave theory. This effect is explained by the presence of nonanalytical corrections to the spin-wave spectrum which are represented in the lowest order by the term ${\sim} (T/S)^{2} k^{2}\ln{k}$.


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English version:
Journal of Experimental and Theoretical Physics Letters, 2013, 97:4, 209–213

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Document Type: Article
Received: 05.11.2012
Revised: 14.01.2013

Citation: A. N. Ignatenko, A. A. Katanin, V. Yu. Irkhin, “Strong fluctuations near the frustration point in cubic lattice ferromagnets with localized moments”, Pis'ma v Zh. Èksper. Teoret. Fiz., 97:4 (2013), 235–240; JETP Letters, 97:4 (2013), 209–213

Citation in format AMSBIB
\by A.~N.~Ignatenko, A.~A.~Katanin, V.~Yu.~Irkhin
\paper Strong fluctuations near the frustration point in cubic lattice ferromagnets with localized moments
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2013
\vol 97
\issue 4
\pages 235--240
\jour JETP Letters
\yr 2013
\vol 97
\issue 4
\pages 209--213

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    This publication is cited in the following articles:
    1. Mueller P., Richter J., Hauser A., Ihle D., “Thermodynamics of the Frustrated J(1)-J(2) Heisenberg Ferromagnet on the Body-Centered Cubic Lattice With Arbitrary Spin”, Eur. Phys. J. B, 88:6 (2015), 159  crossref  mathscinet  adsnasa  isi  scopus
    2. Nikiforov V.N., Ignatenko A.N., Ivanov A.V., Irkhin V.Yu., “Laser Spectroscopy of Finite Size and Covering Effects in Magnetite Nanoparticles”, Laser Phys. Lett., 13:2 (2016), 025601  crossref  adsnasa  isi  elib  scopus
    3. V. N. Nikiforov, A. N. Ignatenko, V. Yu. Irkhin, “Size and surface effects on the magnetism of magnetite and maghemite nanoparticles”, J. Exp. Theor. Phys., 124:2 (2017), 304–310  crossref  isi  scopus
    4. P. Mueller, A. Lohmann, J. Richter, O. Menchyshyn, O. Derzhko, “Thermodynamics of the Pyrochlore Heisenberg Ferromagnet With Arbitrary Spin S”, Phys. Rev. B, 96:17 (2017), 174419  crossref  isi  scopus
    5. P. Mueller, J. Richter, D. Ihle, “Thermodynamics of Frustrated Ferromagnetic Spin-1/2 Heisenberg Chains: Role of Interchain Coupling”, Phys. Rev. B, 95:13 (2017), 134407  crossref  isi  scopus
    6. V. N. Nikiforov, E. A. Goodilin, A. V. Ivanov, A. N. Ignatenko, V. Yu. Irkhin, “Influence of Size and Surface on Magnetism of Magnetite and Maghemite Nanoparticles”, Int. J. Nanotechnol., 14:7-8, SI (2017), 654–664  crossref  isi
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